I'm just posting this cause I'd always wondered what the answer was, but never cared enough to look it up. Thanks to /r/askscience, I now know the answer!
The numbers vary somewhat, but if you make 1 cup of tea with a tea bag you get most of the total extractable caffeine (around 70% or so). If you make a second cup of tea you get close to that last 1/3 that is left. Here is a summary table.
We can thank Monique Hicks et al., at Auburn for this paper (there are other cool measurements in this as well)!
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